Subjects algebra

Absolute Value Expression D09De9

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1. **State the problem:** Evaluate the expression $41. | -12 - 6 | - | -6 |$. 2. **Recall the absolute value definition:** The absolute value $|x|$ is the distance of $x$ from zero on the number line, always non-negative. 3. **Calculate inside the absolute values:** $$|-12 - 6| = |-18| = 18$$ $$|-6| = 6$$ 4. **Substitute back into the expression:** $$41. \times 18 - 6$$ 5. **Perform multiplication:** $$41. \times 18 = 738$$ 6. **Perform subtraction:** $$738 - 6 = 732$$ 7. **Final answer:** $$\boxed{732}$$